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Showing 1 to 2 of 2 for “"Hamiltonian hopf bifurcation"”.
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Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
… body cordinates) are found to be noncanonical Hamiltonian equations. The Poisson bracket is generalised and the equilibrium equations found to sit, as the third member, in a family of rod equations in generalised magnetic fields. When the rod is linearly elastic, isotropic, inextensible and …
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Hamiltonian bifurcations in Schrodinger trimers
… periodic orbits whose topologies change due to Hamiltonian Hopf bifurcations and transcritical bifurcations. The Hamiltonian Hopf bifurcation occurs when eigenvalues on the imaginary axis collide and split and has two types: elliptic and hyperbolic. These two types arise in the DNLS problem, and …